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    Step Involved in

    Catalytic Reaction

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    1. Mass transfer (diusion of the reactants) (e.g.. species A) fro

    "uid to the e#ternal surface of the catalyst pellet.

    $. %iusion of the reactant from the pore mouth through the ca

    to the intermediate vicinity of the internal catalytic surface.

    &. Adsorption of reactant A onto the catalyst surface.

    '. Reaction on the surface of the catalyst (e.g. A )

    . %esorption of the products (e.g. ) from the surface.

    *. %iusion of the products from the interior of the pellet to the

    at the e#ternal surface.

    +. Mass transfer of the products from the e#ternal pellet surface

    "uid.

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    Steps in heterogeneous catalytic rea

    Reaction ta!esplace on thesurface, ut thespecies involved inreaction must get toand from thesurface

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    -he overall rate of reaction is eual to the rate of the

    step in the mechanism.

    0hen the difusion steps (1,$,*, and +) are very a

    compared /ith the reaction steps (&, '. and ), the

    concentrations in the immediate vicinity of the active

    indistinguishablefrom those in the ul! "uid. In thi

    the transport or difusion steps do not afectthe o

    of the reaction.

    Reaction steps are very ast compared /ith the di

    steps, mass transport does afectthe reaction rate

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    Step I vervie/2 %iusion from thul! to the 3#ternal -ransport

    ul! concentration CAmust travel through the oundary layer o

    thic!ness 4 to the e#ternal surface of the pellet /here the concenis CASas sho/n in 5igure. Rate of transfer2

    6c2 mass transfer coe7cient

    Rate

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    Low Velocitiesoundary layer is thick9ong time for A to travel to the surfaceSmall mass transfer coe7cient !c.

    Mass transfer across the oundary layer is slo/

    and limits the rate of the overall reaction.

    Very high velocitiesoundary layer is so smoers any resistance toacross the oundary la3#ternal mass transfer

    rate of reaction.

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    3#ternal resistance also decreases as the particle si:e is d

    As the "uid velocity increases and;or the particle diametethe mass transfer coe7cient increases until a plateau is r

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    Step $ vervie/2 Internal %iusio

    As Adiuses into the interior of the pellet, it reacts /ith catalysthe sides of pore /alls.

    5or large pellets, it ta!es a long time for the reactant A to diuscompared to the time it ta!es for the reaction to occur on the insurface.

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    A model system is proposed and then the isotherm ota

    from the model is compared /ith the e#perimental data

    on the curve.

    If the curve predicted y the model agrees /ith the

    e#perimental one, the model may reasonaly descrie /

    occurring physically in the real system.

    If the predicted curve does not agree /ith data otained

    e#perimentally, the model fails to match the physical sit

    at least one important characteristic and perhaps more.

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    Adsorption Isotherms

    Isotherms portray the amount of a gas adsored n a solidpressures ut at one temperature.

    A physical phenomena

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    Adsorption Isotherms

    S 2 an active site= alone it /ill denote a vacant site,

    -he comination of S /ith another 9etter (e.g., A.S) /ill meunit of species A /ill e adsored on the site S.

    -he adsorption of A on a site S is represented y

    total molar concentration of active per unit mass of catalyst is eual tonumer of active sites per unit masdivided by Avogadro's numbera

    e laelled C, (mol;g .cat).

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    Asence of catalyst deactivation2 total concentration of actremains constant.

    ?i partial pressure of species i in the gas phase. atm or !?

    Ci.s surface concentration of sites occupied y species i, rno

    A conceptual mode depicting species A and ! on two

    5or the system sho/n, the total concentration of sites is

    "it

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    Adsorption of caron mono#idemetal surfaces

    molecular or non#dissociated adsorption

    dissociat

    C @ S C @$S

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    Adsorption o carbon mono$idemolecules

    C @ S

    rate o attachment of the caronmono#ide molecules to the activesite on the surface

    proportionalnumber o comolecules maactive site pe

    a specic fraction of the molecules t

    stri!e the surface ecome adsored Caron mono#ide partial pressure, ?co Concentration of vacant sites, Cv

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    %etachment of caron mono#ide molecules from the surface isdirectly proportional to the concentration of sites occupied y thadsored molecules

    -he netrate o adsorption is eual to the rate of molecular atsurface minus the rate of detachment from the surface.

    B

    adsorption

    con

    B ) (

    (

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    ecause caron mono#ide is the only material adsored on thecatalyst the site alance gives

    (

    At euilirium, the net rate of adsorption euals to :ero from eu

    (

    5rom euation *

    Rearranging

    adsorpt

    9angm

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    9angmuirBDinshel/ood (9D) mechani

    -he adsored species are held onto denite points of attac

    surface. 3ach site can accommodate only one adsored sp

    -he surface is completely uniform so that there is the sam

    of adsorption on all sites. Attractive or repulsive forces et

    adEacent adsored molecules are ta!en to e negligile.

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    Amount of C adsored per unit mass of catalyfunction of the partial pressure of C

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    Isotherm for caron mono#ideadsored as atoms (

    )

    %issociative ads

    C @$S

    5or a molecule to dissociate as it adsored, t/o adEacent vacaactive sites are reuired rather than the sing site needed /hesustance adsors in its molecular form

    ?roaility of t/o vacant sites occurring adEacent to one anotis proportional to the suare of the concentration of vacant si

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    5or desorption to occur, t/o occupied sites must e adEacen

    B

    5actoring out !A, the euation for dissociative adsorption

    B )

    9anisotadsato

    ?lease /ritedo/n thesteps FFF

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    0hen more than one sustance present

    Dome AssignmentFFFFFF

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    "uraceReaction-he rate of adsorption of species A onto a solid surface,

    A @ S

    B )

    After a reactant has een adsored onto the surface, it is caof reacting in a numer of /ays to form the reaction produc

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    Reaction &echanism

    "ingle site2 only the site on /hich the reactant is adso

    involved

    %ual site2 adsored reactant interacts /ith another sit

    reaction et/een two adsorbed species

    reaction of t/o species adsored on diferen

    sites

    ley#Rideal( the reaction et/een an adsored molecu

    molecule in the gas phase

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    "ingle site

    only the site on /hich the reactant is adsored is involve

    an adsored molecule of A may isomeri:e (or perhaps deco

    directly on the site to /hich it is attached.

    A.S

    ecause in each step the reaction mechanism is elementary, surface reaction rate la/ is

    B )

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    %ual site

    adsored reactant interacts /ith another site (either unoc

    occupied) to form the product

    A.S @ S

    B )

    corresponding surface reaction rate la/

    dehydration of butanol

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    %ual site

    Reaction et/een t/o adsored species

    A.S @ .S

    surface reaction rate la/

    B )

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    the reaction of t/o species adsored on dierent types of

    %ual site

    A.SG @ .S

    surface reaction rate la/

    B )

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    the reaction et/een an adsored molecule and a molecuphase.

    ley#Rideal

    A.S @ (g)

    B )

    surface reaction rate la/

    propylene and en:ene

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    %esorption

    the products of the surface reaction adsored on the surfasuseuently desored into the gas phase

    C . S

    -he rate of desorption ofC

    B )

    6%Cis the desorption euilirium constant

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    -he RateB9imiting Step

    0hen heterogeneous reactions are carried out at steady stof each of the three reaction steps in series (adsorption, suand desorption) are eual to one another.

    ne particular step in the series is usually found to e rarerateBcontrolling.

    if /e could ma!e this particular step go faster, the entire rproceed at an accelerated rate.

    In /riting this seuence. one must choose amomechanisms as molecular or atomic adsorptionor dualBsite reaction. He#t, rate Ia/s are /ritten

    individual steps as sho/n in the preceding sect

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    synthesis of ammonia from hydand nitrogen (adsorptionBlimited)

    Rapid

    Rapid

    Rate 9

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    -/o no#ious automoile e#haustproducts C and H(SurfaceBlimiting )

    Rapid

    Rapid

    Rate9imiti

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    Synthesi:ing a Rate 9a/, Mechand RateB9imiting Step

    decomposition of cumene to form en:ene and propylene

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    Steps in 9angmuirBDinshel/ood6inetic Mechanism

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    Rate of adsorption of cumene

    Surface reaction2 Adsored en:ene and propylene in gas pha

    rate of en:ene desorptian

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    %esorption is Eust the reverse of the adsorption ofen:ene

    Rate of desorption may e /ritten as2

    ecause there is no accumulation of reacting species on the

    surface

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    y assuming that this (or any other) srateBlimiting, /e are considering that

    reaction rate constant of this step (in

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    Is the Adsorption of Cumene Rate9imitingF

    5or adsorption limited reactions, !Ais small and !Sand !%are

    Conseuently, the ratios rS;!Sand r%;!%are very small (appro#

    :ero), /hereas he ratio rA%;!Ais relatively large.

    )eed to e$press *V+ and **+"in terms o ,*+ ,!and

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    Surface reaction rate la/ (&

    5or adsorptionBlimited reactions the surface specic reaction rat

    large y comparison

    (&$)(&

    5or adsorptionBlimited reactions, !%is large y comparison

    (&') (

    (y (&&) (&)

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    Replacing CC.Sin the rate euation y 3uation (&*) and then facto

    y setting rA%K L, the term (6S6C;6) is simply the overall partial p

    euilirium constant, 6?for the reaction

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    Cv, can e eliminated from 3uation (&+) y utili:ing the site alan

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    Cumene reaction rate la/ if adsorption /ere the limitingstep

    Ho propresen

    ??K ?rate is

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    Is the "urace Reaction Rate#Lim

    rate of surface reaction

    kAand kD, are very large y comparison /ith !S

    rA%;!AK L K r%;!% and site alance

    Initial rate

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    Initial rate

    At lo/ pressure

    At highpressure

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    Is the desorption Rate#Limiting-

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    Actual initial rate as a function of partial pressure of cumene

    Surface limited reaction mechanism is consistene#perimental data

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    If /e /ere to have an adsoring inert in the feed

    Inert /ould not participate in the reaction ut /ould occupythe catalyst surface

    Rate la/ 5or surface reaction control /hen an adsoring ine